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May 18, 2026
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Corruption and botnet defense: a mean field game approach

International Journal of Game Theory. 2018. Vol. 47. P. 977–999.
Kolokoltsov V., Malafeyev O.

Recently developed toy models for the mean-field games of corruption and
botnet defence in cyber-security with three or four states of agents are extended to a
more general mean-field-game model with 2d states, d ∈ N. In order to tackle new
technical difficulties arising from a larger state-space we introduce new asymptotic
regimes, namely small discount and small interaction asymptotics. Moreover, the link
between stationary and time-dependent solutions is established rigorously leading to
a performance of the turnpike theory in a mean-field-game setting.

Priority areas: mathematics
Language: English
Full text
DOI
Text on another site
Keywords: turnpike theoremsstable equilibrium pointmean-field gameигры среднего поляустойчивое равновесиемагистраль
Publication based on the results of:
Вероятностные и статистические методы анализа сложных моделей, задаваемых стохастическими дифференциальными и разностными уравнениями (2018)
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